The question given below has three statements numbered I, II and III. Decide data in which of statements are sufficient to answer the question. Q. How much will be the cost of carpeting a rectangular hall ? I. Perimeter of a rectangle is 60m. II. Angle between width and hypotenuse is 60°. III. The cost of carpeting the surface floor is Rs 125 per sq.
A :
Only II and III
B :
Only I and II
C :
Only I and III, or only II and III
D :
All the three statements I, II and III together are necessary for answering the question.
Answer: D To get the total cost of carpeting the rectangular hall, we need its area as well as per square unit cost. From I and II we get the area of the hall, while from III we get the per unit square cost.
Q. No. 2:
The question given below has three statements numbered I, II and III.
Decide data in which of statements are sufficient to answer the
question.
Q. In how many days can a work be completed by A and B together ?
I. A alone can complete the work in 8 days.
II. If A alone works for 5 days and B alone works for 6 days, the work gets completed.
III. B alone can complete the work in 16 days.
Answer: B By using any two of the three, we can ascertain the number of days required by A and B to complete the work.
Q. No. 3:
The question given below has three statements numbered I, II and III.
Decide data in which of statements are sufficient to answer the
question.
Q. What is a two-digit number ?
I. The difference between the two digit number and the number fund by interchanging the digits is 27.
II. The difference between two digits is 6.
III. The digit at unit's place is less than that at ten's place by 3.
A :
Only I and either II or III
B :
Only I and II
C :
Only I and III
D :
Even with all the three statements the answer cannot be given
Answer: D The equation form from statement I, II and II are the same, x-y = 3. Hence, we cannot solve it for x and y.
Q. No. 4:
The question given below is followed by three statements marked I, II and III. Decide which statement(s) is/are redundant and not required to answer the question. Q. The difference between the compound interest and the simple interest at the same rate on a certain amount at the end of two years is Rs 12.50. What is the rate of interest. I. Simple interest for two years is Rs 500. II. Compound interest for two years is Rs 512.50. III. Amount on simple interest after two years becomes Rs 5,500.
Answer: D By using any two of the three we get the answer to question.
Q. No. 5:
The question given below is followed by three statements marked I, II
and III. Decide which statement(s) is/are redundant and not required to
answer the question.
Q. What is the area of right-angled triangle ?
I. The perimeter of the triangle is 30 cm.
II. The ratio between the base and the height of the triangle is 5:12.
III. The area of the triangle is equal to the area of the of a rectangle of length 10cm.
Answer: A Since ratio of base and height is given in II and perimeter is given in I so both I and II together are required to solve the question.
Q. No. 6:
The question given below is accompanied by three statements I, II and III. You have to determine which statement(s) is/are sufficient/necessary to answer the question. Q. Find three positive consecutive even numbers. I. The average of four consecutive even numbers starting from the last of the given numbers is 17. II. The difference of the highest and the lowest number is 4. III. The sum of the squares of the three numbers is 440.